In this paper we present an analytic solution of the famous problem of diffraction and interference of electrons through one and two slits (for simplicity, only the one-dimensional case is considered). In addition to exact formulae, various approximations of the electron distribution are shown which facilitate the interpretation of the results.…

Herein, we describe an effective and tested model of a week-long summer science intensive program for high school students that aimed to elaborate on concepts covered in a high school chemistry or biology course, and to provide high school students an opportunity to learn about studying and pursuing careers in the sciences. The program was…

The accountability movement and high-stakes testing fail to attend to ongoing instructional improvements based on the regular assessment of student skills and teacher practices. Summative achievement data used for high-stakes accountability decisions are collected too late in the school year to inform instruction. This is especially problematic…

The Encouraging Persistence Maintaining Challenge (EMPC) Project has been working with secondary teachers in Melbourne as they seek to build persistence in students, during work on challenging mathematics tasks. The authors have developed sequences of tasks in various topic areas for Years 7 and 8, which require students to connect different…

In this article, Denson and Lammi put forth a conceptual framework that will help promote the successful infusion of engineering design experiences into high school settings. When considering a conceptual framework of engineering design in high school settings, it is important to consider the complex issue at hand. For the purposes of this…

The increase in ocean acidity since preindustrial times may have deleterious consequences for marine organisms, particularly those with calcareous structures. We present a laboratory experiment to investigate this impact with general, introductory, environmental, and nonmajors chemistry students. For simplicity and homogeneity, calcite was…

Problem solving is essential to everyone's life. People survive if they are nourished, sheltered, and protected--and they construct ways to obtain nourishment, shelter, and protection through problem solving. Though problems vary in complexity--survival at the one end and the pursuit of comfort at the other--we are reliant on our ability to…

Interior design is seldom integrated within the general art education curriculum because the subject matter is generally segregated as a commercial art. However, the importance of interior design concepts of sustainability in art education can really help a student understand the scale and proportion of space and mass, and how sustainability is…

Design-thinking is an inductive and participatory process in which designers are required to manage constraints, generate solutions, and follow project timelines in order to complete project goals. The researchers used this exploration study to look at how designers in various disciplinary fields approach design projects. Designers were asked to…

Geometry students need challenges. They need to apply what they already know to new contexts. As a result, high school teacher Wayne Nirode is always looking for groups of related problems of theorems to challenge his geometry students. He came across one such group or problems when reading Jun's (2012) one-page abstract posted online for the 12th…

Just about everyone loves the "idea" of cooperative learning, children working productively and excitedly in groups, everyone getting along and enthusiastically helping one another learn. This article presents five strategies that teachers can use to get the greatest benefit possible from cooperative learning and ensure that…

Today, the Common Core State Standards for Mathematics (CCSSI 2010) expect students in as early as eighth grade to be knowledgeable about irrational numbers. Yet a common tendency in classrooms and on standardized tests is to avoid rational and irrational solutions to problems in favor of integer solutions, which are easier for students to…

The relationship between collaboration and gifted and talented students often is assumed to be an easy and successful learning experience. However, the transition from working alone to working with others necessitates an understanding of issues related to ability, sociability, and mobility. Collaboration has been identified as both an asset and a…

An active learning class exercise is presented that gives students the personal experience of the decision-making limitations of mental models. This innovative exercise was shown to increase student learning through greater understanding of the concept and higher retention of knowledge. The results suggest that student critical thinking skills…

This article describes an exciting exploration-based activity in which students develop an alternative definition of factor that can help them solve problems like the one presented above. Students work in groups to collect data, analyze the data to make conjectures, and then spend a significant amount of time debating and justifying their…